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Math Problems
Grade 8
Write a linear equation from a slope and a point
There is a line that includes the point
(
9
,
9
)
(9,9)
(
9
,
9
)
and has a slope of
1
10
\frac{1}{10}
10
1
. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
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A line passes through point
(
6
,
7
)
(6,7)
(
6
,
7
)
and has a slope of
3
2
\frac{3}{2}
2
3
. Write an equation in
A
x
+
B
y
=
C
A x+B y=C
A
x
+
B
y
=
C
form for this line. Use integers for
A
,
B
A, B
A
,
B
, and
C
C
C
.
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A line has a slope of
−
2
-2
−
2
and passes through the point
(
−
3
,
8
)
(-3,8)
(
−
3
,
8
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
2
-2
−
2
and passes through the point
(
−
2
,
−
3
)
(-2,-3)
(
−
2
,
−
3
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
7
-7
−
7
and passes through the point
(
2
,
7
)
(2,7)
(
2
,
7
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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A line has a slope of
−
3
-3
−
3
and passes through the point
(
−
7
,
1
)
(-7,1)
(
−
7
,
1
)
. Write its equation in slope-intercept form.
\newline
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Write the equation of the line that passes through the points
(
−
1
,
−
4
)
(-1,-4)
(
−
1
,
−
4
)
and
(
6
,
−
8
)
(6,-8)
(
6
,
−
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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Write the equation of the line that passes through the points
(
−
5
,
−
5
)
(-5,-5)
(
−
5
,
−
5
)
and
(
−
9
,
−
4
)
(-9,-4)
(
−
9
,
−
4
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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Write the equation of the line that passes through the points
(
−
1
,
9
)
(-1,9)
(
−
1
,
9
)
and
(
5
,
5
)
(5,5)
(
5
,
5
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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A circle in the
x
y
x y
x
y
-plane has its center on the line
y
=
1
y=1
y
=
1
. If the point
(
2
,
−
3
)
(2,-3)
(
2
,
−
3
)
lies on the circle and the radius is
4
4
4
, which of the following could be the center of the circle?
\newline
Choose
1
1
1
answer:
\newline
(A)
(
2
,
1
)
(2,1)
(
2
,
1
)
\newline
(B)
(
2
,
−
3
)
(2,-3)
(
2
,
−
3
)
\newline
(C)
(
4
,
1
)
(4,1)
(
4
,
1
)
\newline
(D)
(
−
4
,
1
)
(-4,1)
(
−
4
,
1
)
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